K13n2808
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Polynomial invariants
| Jones polynomial | Data:K13n2808/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+9 t^3-29 t^2+56 t-69+56 t^{-1} -29 t^{-2} +9 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2808/Conway Polynomial |
| Determinant | 259 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-4 a^4 z^6+4 a^2 z^6+2 a^6 z^4-8 a^4 z^4+14 a^2 z^4-3 z^4+a^6 z^2-7 a^4 z^2+17 a^2 z^2-6 z^2-a^6-2 a^4+7 a^2-3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^5 z^{11}+3 a^3 z^{11}+10 a^6 z^{10}+19 a^4 z^{10}+9 a^2 z^{10}+14 a^7 z^9+26 a^5 z^9+21 a^3 z^9+9 a z^9+11 a^8 z^8+3 a^6 z^8-19 a^4 z^8-8 a^2 z^8+3 z^8+5 a^9 z^7-19 a^7 z^7-58 a^5 z^7-47 a^3 z^7-13 a z^7+a^{10} z^6-19 a^8 z^6-35 a^6 z^6-9 a^4 z^6+12 a^2 z^6+6 z^6-8 a^9 z^5+28 a^5 z^5+34 a^3 z^5+20 a z^5+6 z^5 a^{-1} -a^{10} z^4+11 a^8 z^4+26 a^6 z^4-a^4 z^4-29 a^2 z^4-14 z^4+4 a^9 z^3+10 a^7 z^3+3 a^5 z^3-18 a^3 z^3-24 a z^3-9 z^3 a^{-1} -2 a^8 z^2-5 a^6 z^2+11 a^4 z^2+23 a^2 z^2+9 z^2-5 a^7 z-4 a^5 z+6 a^3 z+9 a z+4 z a^{-1} +a^6-2 a^4-7 a^2-3 }[/math] |
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